Given numbers are 390,864,234,244,497

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 390,864,234,244,497 is 1702602720.

Find LCM of 390,864,234,244,497 with Prime Factorization

Multiply the prime numbers at the bottom and the left side.

2 x 2 x 3 x 3 x 13 x 5 x 24 x 1 x 61 x 497 = 1702602720

Therefore, the lowest common multiple of 390,864,234,244,497 is 1702602720.

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

390 x 864 x 234 x 244 x 497 = 9561816875520

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

244 : 1, 2, 4, 61, 122, 244

497 : 1, 7, 71, 497

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 390,864,234,244,497, is 1.

Now, the common factors can be found like this.

390:2x 3x 5x 13

864:2x 2x 2x 2x 2x 3x 3x 3

234:2x 3x 3x 13

244:2x 2x 61

497:7x 71

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2x 2x 2x 3x 3x 3x 13 = 5616

Therefore, the value for common factors is 5616.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 9561816875520/(1x5616)

LCM = 9561816875520/5616

LCM = 1702602720

Thus, we can understand that the LCM of 390,864,234,244,497 is 1702602720.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 948, 661, 986, 174, 522
• LCM of 570, 505, 811, 540, 935
• LCM of 884, 211, 362, 933, 540
• LCM of 163, 701, 309, 317, 759
• LCM of 836, 663, 791, 795, 434

1. What is the LCM of 390, 864, 234, 244, 497?

Answer: LCM of 390, 864, 234, 244, 497 is 1702602720.

2. How to calculate the LCM of 390, 864, 234, 244, 497?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 390, 864, 234, 244, 497.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.